Natural number/Catalogs/Special properties

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• Prime number [r]: A number that can be evenly divided by exactly two positive whole numbers, namely one and itself. ^[e]
  • Mersenne prime [r]: Add brief definition or description
  • Fermat prime [r]: Add brief definition or description
  • Pseudoprime [r]: Probable prime (an integer which shares a property common to all prime numbers) which is not actually prime. ^[e]
    • Strong pseudoprime [r]: A composite number that passes a pseudoprimality test. ^[e]
    • Fermat pseudoprime [r]: A composite number q such that a^{q − 1}≡ 1 (mod q) for any a that is coprime with q and a is between 2 and q-2 ^[e]
    • Euler pseudoprime [r]: A Fermat pseudoprime to at most 1/2 of all possible bases less than itself. ^[e]
    • Perrin pseudoprime [r]: Add brief definition or description
    • Carmichael number [r]: A composite number c such that a^c−1 ≡ 1 (mod c) for all a that are coprime with c. ^[e]

• Figurative number [r]: Add brief definition or description
  • Triangular number [r]: Represents the number of circles you can arrange to a equilateral triangle. ^[e]

• Fibonacci number [r]: Element of the sequence in which the first number is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers. ^[e]
  • Lucas number [r]: Terms of the Fibonacci sequence whose first two terms are 2 and 1. ^[e] Lucas sequence [r]: A particular generalisation of sequences like the Fibonacci numbers, Lucas numbers, Pell numbers or Jacobsthal numbers. ^[e]

• Catalan number [r]: Add brief definition or description